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Finding the Fourth Proportional to 9,336, 13,971.10 and 5,827.66

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Solution

The fourth proportional to 9,336, 13,971.10 and 5,827.66 is: 8,720.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336 : 13,971.10 = 5,827.66 : x
  2. Step 2: Convert to fraction form
    9,336/13,971.10 = 5,827.66/x
  3. Step 3: Cross multiply
    9,336x = 13,971.10 × 5,827.66
  4. Step 4: Simplify right side
    9,336x = 81,418,820.63
  5. Step 5: Solve for x
    x = 81,418,820.63/9,336
  6. Step 6: Final answer
    x = 8,720.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.